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Finding the Fourth Proportional to 153,277.60, 229,916.40 and 137,207.20

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Solution

The fourth proportional to 153,277.60, 229,916.40 and 137,207.20 is: 205,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,277.60 : 229,916.40 = 137,207.20 : x
  2. Step 2: Convert to fraction form
    153,277.60/229,916.40 = 137,207.20/x
  3. Step 3: Cross multiply
    153,277.60x = 229,916.40 × 137,207.20
  4. Step 4: Simplify right side
    153,277.60x = 31,546,185,478.08
  5. Step 5: Solve for x
    x = 31,546,185,478.08/153,277.60
  6. Step 6: Final answer
    x = 205,810.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.